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A data set has 97 values arranged in order. Which position holds the median?
AThe 48th value
BThe 50th value
CThe 49th value
DThe 97th value
Answer & Solution
Correct answer: C. The 49th value
1. For an odd number of values the median is the single middle value.
2. Find its position by adding one to the count and halving the result.
3. 97 plus 1 is 98, and half of 98 is 49.
4. So the median is the 49th value in the ordered list.
_Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 2.5 Measures of the Center of the Data_
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